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Finding the Fourth Proportional to 523,178.50, 784,775.13 and 149,201.50

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Solution

The fourth proportional to 523,178.50, 784,775.13 and 149,201.50 is: 223,804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,178.50 : 784,775.13 = 149,201.50 : x
  2. Step 2: Convert to fraction form
    523,178.50/784,775.13 = 149,201.50/x
  3. Step 3: Cross multiply
    523,178.50x = 784,775.13 × 149,201.50
  4. Step 4: Simplify right side
    523,178.50x = 117,089,626,558.70
  5. Step 5: Solve for x
    x = 117,089,626,558.70/523,178.50
  6. Step 6: Final answer
    x = 223,804.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.